A man is dragging a trunk up the loading ramp of a mover\'s truck. The ramp has

Question

A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20.0 , and the man pulls upward with a force F  of magnitude 379 N whose direction makes an angle of 30.0 with the ramp.

Part A

Find the horizontal component of the force F . Your answer should be positive if the force is to the right, negative if the force is to the left.

Express your answer in newtons to three significant figures.

Part B

Find the vertical component of the force F . Your answer should be positive if the force is upward, negative if the force is downward.

Express your answer in newtons to three significant figures.

Explanation / Answer

A) F = 379N/cos(30) = 69.28 N = 69.3 N

B) Fy = 69.3 * sin(30) = 34.65 N

Checking: sqrt(60^2 + 34.6^2) = 69.3

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